### Video Transcript

What is 807 gram-weight in dynes? Take gravity to equal 9.8 meters per second squared.

So first of all, in this question, letâ€™s understand what the units are weâ€™re looking at. So first of all, we have gram-weight which can also be known as gram-force. So what gram-force or gram-weight is, is a gravitational unit of force. And what this is, is a force with which a body of the unit mass is attracted by the Earth towards its center. So therefore, for a gram-weight or gram-force itself, we can say itâ€™s the force with which a mass of one gram is attracted by the Earth towards its center.

And if we take a look at a dyne, what a dyne is, is the absolute unit force. And this is the force which produces an acceleration of one centimeter per second squared in a mass of one gram. So before we can work out what 807 gram-weight is in dynes, what we need to do is take a look at our acceleration due to gravity. So here we have 9.8 meters per second squared. But in dynes, what weâ€™re looking at is centimeters per second squared. So what weâ€™re gonna do is multiply this by 100. So when we do, what we get is 980 centimeters per second squared. So therefore, to convert from gram-weight to dynes, what weâ€™re gonna do is multiply by 980.

So 807 gram-weight is equal to 807 multiplied by 980. And then the unit will be dynes. So this is gonna give us a final answer of 790,860 dynes.